When children are immunized, it's really the beginning of a new day for them.
However much the creationist leaders might hammer away at their scientific and philosophical points, they would be helpless and a laughing-stock if that were all they had. It is religion that recruits their squadrons. Tens of millions of Americans, who neither know nor understand the actual arguments for - of even against - evolution, march in the army of the night, their Bibles held high. And they are a strong and frightening force, impervious to, and immunized against, the feeble lance of mere reason.
The risks are far greater to your child of not getting immunized than any kind of speculative potential relationship between the vaccine and the development of autism.